Thread: World Problem dealing with matrices

Please help me to understand this problem, if I understand how to set it up I know I can solve it. . .

Problem: Candidate A and candidate B are running for mayor of a small town. After attending a debate, some citizens change their minds about the candidate for whom they will vote. Let m = 25% be the percent of citizens that switch from candidate A to candidate B. Let n = 16% be the percent of citizens that switch from candidate B to candidate A. Before the debate, candidate A was expected to win the election 1200 votes to 950 votes. After the debate, how many vots will candidate A and candidate B recieve? Use the transition matrix T to help you answer the question.

[1-m n] = T
[ m 1-n]

then
= T
so

when multiplied out we get